Least Common Multiple of 316438 and 316442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316438 and 316442 the smallest integer that is 50067136798 that is divisible by both numbers.

Least Common Multiple (LCM) of 316438 and 316442 is 50067136798.

LCM(316438,316442) = 50067136798

LCM of 316438 and 316442

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 316438 and 316442

LCM of 316438 and 316442 is 50067136798

Least common multiple can be found by multiplying the highest exponent prime factors of 316438 and 316442. First we will calculate the prime factors of 316438 and 316442.

Prime Factorization of 316438


2 316438
17 158219
41 9307
227 227
1

Prime factors of 316438 are 2, 17, 41,227. Prime factorization of 316438 in exponential form is:

316438 = 21×171×411×2271

Prime Factorization of 316442


2 316442
7 158221
7 22603
3229 3229
1

Prime factors of 316442 are 2, 7,3229. Prime factorization of 316442 in exponential form is:

316442 = 21×72×32291

Now multiplying the highest exponent prime factors to calculate the LCM of 316438 and 316442.

LCM(316438,316442) = 21×72×171×411×2271×32291
LCM(316438,316442) = 50067136798

Factors of 316438

List of positive integer factors of 316438 that divides 316438 without a remainder.

1, 2, 17, 34, 41, 82, 227, 454, 697, 1394, 3859, 7718, 9307, 18614, 158219, 316438

Factors of 316442

List of positive integer factors of 316442 that divides 316442 without a remainder.

1, 2, 7, 14, 49, 98, 3229, 6458, 22603, 45206, 158221, 316442

Least Common Multiple of 316438 and 316442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316438 and 316442, than apply into the LCM equation.

GCF(316438,316442) = 2
LCM(316438,316442) = ( 316438 × 316442) / 2
LCM(316438,316442) = 100134273596 / 2
LCM(316438,316442) = 50067136798

Properties of LCM 316438 and 316442

(i) The LCM of 316442 and 316438 is associative

LCM of 316438 and 316442 = LCM of 316442 and 316438

Related Least Common Multiples of 316438

Related Least Common Multiples of 316442

Frequently Asked Questions on LCM of 316438 and 316442

1. What is the LCM of 316438 and 316442?

Answer: LCM of 316438 and 316442 is 50067136798.

2. What are the Factors of 316438?

Answer: Factors of 316438 are 1, 2, 17, 34, 41, 82, 227, 454, 697, 1394, 3859, 7718, 9307, 18614, 158219, 316438. There are 16 integers that are factors of 316438. The greatest factor of 316438 is 316438.

3. What are the Factors of 316442?

Answer: Factors of 316442 are 1, 2, 7, 14, 49, 98, 3229, 6458, 22603, 45206, 158221, 316442. There are 12 integers that are factors of 316442. The greatest factor of 316442 is 316442.

4. How to Find the LCM of 316438 and 316442?

Answer:

Least Common Multiple of 316438 and 316442 = 50067136798

Step 1: Find the prime factorization of 316438

316438 = 2 x 17 x 41 x 227

Step 2: Find the prime factorization of 316442

316442 = 2 x 7 x 7 x 3229

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 50067136798 = 2 x 7 x 7 x 17 x 41 x 227 x 3229

Step 4: Therefore, the least common multiple of 316438 and 316442 is 50067136798.